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Ilia_Sergeevich [38]
3 years ago
12

The equation d=rt is used to calculate distance, rate, or time, where d is the distance (in miles), r is the rate (in miles per

hour), and t is the time (in hours). Consider the statements below that describe the driving rates for three people. Graph the equation that represents the rate of the fastest person. Braylon drives at a rate of 50 miles per hour. Kiko drives for 9 hours and goes 405 miles. Presley drives 385 miles in 7 hours.

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

Presley is the fastest

d= 55t

Step-by-step explanation:

d= rt

Divide by t

d/t =r

so we can find the rate

Braylon

50 miles per hour

Kiko

rate = distance/ time

         = 405 miles / 9 hours

          = 45 miles per hour

Presley

rate = distance/ time

         = 385 miles/ 7 hours

          = 55 miles per hour


Presley is the fastest

d =rt

d = 55 t

Remember t >=0 since it is time


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jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot
ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

8x+6y=34 \ \ \ \ equation \ 1

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

14x+6y=46 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation we get;

14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12

Now dividing both side by 6 we get;

\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups

Now we will substitute the value of 'x' in equation 1 we get;

8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34

Subtracting both side by 16 we get;

16+6y-16=34-16\\\\6y= 18

Now dividing both side by 6 we get;

\frac{6y}{6}=\frac{18}{6}\\\\y=3

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

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3 years ago
Determine any data values that are missing from the table, assuming that the data represent a linear function.
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Answer:

Fill in the blank with 14

<em></em>

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

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The value of x is 4

So, substitute 4 for x in y = 4x -2

y = 4 * 4 - 2

y = 16 - 2

y = 14

7 0
3 years ago
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